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Finding the Third Proportional to 455,478 and 723,767

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Solution

The third proportional to 455,478 and 723,767 is: 1,150,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,478 : 723,767 = 723,767 : x
  2. Step 2: Convert to fraction form
    455,478/723,767 = 723,767/x
  3. Step 3: Cross multiply
    455,478x = 723,767 × 723,767
  4. Step 4: Simplify right side
    455,478x = 523,838,670,289
  5. Step 5: Solve for x
    x = 523,838,670,289/455,478
  6. Step 6: Final answer
    x = 1,150,085.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.